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Title of Journal: Manuscripta Math

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Abbravation: manuscripta mathematica

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Springer Berlin Heidelberg

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DOI

10.1007/s10600-012-0343-9

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1432-1785

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Homological characterization of lean algebras

Authors: Istán Ágoston Vlastimil Dlab Erzsébet Lukács
Publish Date: 1993/12/01
Volume: 81, Issue: 1, Pages: 141-147
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Abstract

Certain classes of lean quasihereditary algebras play a central role in the representation theory of semisimple complex Lie algebras and algebraic groups The concept of a lean semiprimary ring introduced recently in 1 is given here a homological characterization in terms of the surjectivity of certain induced maps between Ext1groups A stronger condition requiring the surjectivity of the induced maps between Ext k groups for allk≥1 which appears in the recent work of Cline Parshall and Scott on KazhdanLusztig theory is shown to hold for a large class of lean quasihereditary algebras

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  1. A stability criterion for nonparametric minimal submanifolds
  2. Harmonic maps and asymptotic Teichmüller space
  3. On the backward uniqueness property for the heat equation in two-dimensional conical domains
  4. Minoration de la hauteur de Néron-Tate sur les surfaces abéliennes
  5. Stability of flows associated to gradient vector fields and convergence of iterated transport maps
  6. Willmore submanifolds of the Möbius space and a Bernstein-type theorem
  7. A positivity property of the Satake isomorphism
  8. Reduction of structure for torsors over semilocal rings
  9. Common divisors of elliptic divisibility sequences over function fields
  10. Finitistic dimensions of semiprimary rings
  11. Extending Elliptic Curve Chabauty to higher genus curves
  12. The Sp 3 -grassmannian and duality for prime Fano threefolds of genus 9
  13. Existence and compactness for the $${\overline{\partial}}$$ -Neumann operator on q-convex domains
  14. The normalization constant of a certain invariant measure on GL n ()
  15. Tropical descendant Gromov–Witten invariants
  16. A Harnack inequality for the quasi-minima of scalar integral functionals with general growth conditions
  17. Cut loci and conjugate loci on Liouville surfaces
  18. A sphere theorem on locally conformally flat even-dimensional manifolds
  19. On the class numbers of certain Hilbert class fields
  20. The zeros of certain weakly holomorphic Drinfeld modular forms
  21. Icosahedral representations and elliptic curves
  22. On entire functions whose derivatives are¶integer-valued on geometric progressions
  23. Perversité et variation
  24. On linear combinations of special values of L -functions
  25. Irrationalité de certaines sommes de séries
  26. Deformations of Koszul Artin–Schelter Gorenstein algebras
  27. On positive definite hermitian forms
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